Finite Element Methods in Stress Analysis for Creep

This paper provides an overview of classical and novel solution methods for finite element analysis of creep in structures. The reader is asked to question more thoroughly the accuracy of routine finite element analysis of components subject to creep and to ask whether the resulting solution is indeed meaningful.

[1]  J. Spence,et al.  Chapter 11 – Design for creep , 1983 .

[2]  Thomas J. R. Hughes,et al.  Mixed Petrov-Galerkin methods for the Timoshenko beam problem , 1987 .

[3]  Rolf Mahnken,et al.  Adaptive time-step control in creep analysis , 1989 .

[4]  Milos Kojic,et al.  The ‘effective‐stress‐function’ algorithm for thermo‐elasto‐plasticity and creep , 1987 .

[5]  Franz Gustav Kollmann,et al.  An implicit time integration scheme for inelastic constitutive equations with internal state variables , 1986 .

[6]  H. Stamm,et al.  An implicit integration algorithm with a projection method for viscoplastic constitutive equations , 1989 .

[7]  J. N. Reddy,et al.  Applied Functional Analysis and Variational Methods in Engineering , 1986 .

[8]  Michael Ortiz,et al.  An analysis of a new class of integration algorithms for elastoplastic constitutive relations , 1986 .

[9]  Kaspar Willam,et al.  Improved solution methods for inelastic rate problems , 1978 .

[10]  F. A. Leckie,et al.  Advances in Creep Mechanics , 1981 .

[11]  Thomas J. R. Hughes,et al.  Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysis , 1978 .

[12]  I. Cormeau,et al.  Numerical stability in quasi‐static elasto/visco‐plasticity , 1975 .

[13]  Moshe F. Rubinstein,et al.  Creep analysis of axisymmetric bodies using finite elements , 1968 .

[14]  F. Hartmann The Mathematical Foundation of Structural Mechanics , 1985 .

[15]  Abimael F. D. Loula,et al.  Finite element analysis of nonlinear creeping flows , 1990 .

[16]  Thomas J. R. Hughes,et al.  Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory , 1978 .

[17]  Richard H. Gallagher,et al.  Stress Analysis of Heated Complex Shapes , 1962 .

[18]  Noboru Kikuchi,et al.  Finite element methods for constrained problems in elasticity , 1982 .

[19]  J. Z. Zhu,et al.  The finite element method , 1977 .

[20]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[21]  G. G. Chen,et al.  A mixed explicit‐implicit (EI) algorithm for creep stress analysis , 1988 .

[22]  C. W. Heaps,et al.  An improved solution procedure for creep problems , 1986 .

[23]  I. Finnie Reflections on the Past and Future of Creep , 1972 .

[24]  Mahesh Morjaria,et al.  Numerical Integration of Some Stiff Constitutive Models of Inelastic Deformation , 1980 .

[25]  Klaus-Jürgen Bathe,et al.  A solution procedure for thermo-elastic-plastic and creep problems , 1981 .